In this book, after a brief review of the more popular turbulence models, we present and discuss accurate and efficient numerical methods for solving the boundary-layer equations with turbulence models based on algebraic formulas (mixing length, eddy viscosity) or partial-differential transport equations. A computer program employing the Cebeci-Smith model and the k-e model for obtaining the solution of two-dimensional incompressible turbulent flows without separation is discussed in detail and is presented in the accompanying CD. The numerical solution of the boundary-layer equations with flow separation is also discussed and an interactive boundary-layer method developed by the author is described in detail. A computer program for obtaining solutions on airfoils and wakes for a wide range of angles of attack, including stall, is discussed and presented in the accompanying CD. In many respects, this book can be seen as complimentary and supplementary to the author's Analysis of Turbulent Flows.
Author(s): Tuncer Cebeci
Publisher: Horizons Pubns (AZ)
Year: 2004
Language: English
Pages: 129
Tags: Механика;Механика жидкостей и газов;Турбулентность;
Subject Index 117 ......Page 0
1.0 Introduction ......Page 11
1.1 CS Model ......Page 12
1.2 k-E Model ......Page 15
1.3 k-w Model ......Page 19
1.4 SST Model ......Page 20
1.5 SA Model ......Page 23
References ......Page 24
2.1 Transformed Variables ......Page 27
2.2 Solution Procedure ......Page 29
2.3.1 Inner Region ......Page 32
2.3.2 Interface Between Inner and Outer Regions ......Page 37
2.3.3 Outer Region ......Page 38
2.3.4 Block-Elimination Method ......Page 40
2.4.1 Solution of the k-E Model Equations Without Wall Functions ......Page 41
2.4.2 Solution of the k-E Model Equations with Wall Functions ......Page 43
References ......Page 44
3.1.1 MAIN ......Page 45
3.1.2 Subroutine INPUT ......Page 46
3.1.3 Subroutine IVPT ......Page 47
3.1.5 Subroutine GRID ......Page 49
3.2 Part 2 - CS Model ......Page 50
3.2.1 Subroutine COEFTR ......Page 51
3.2.2 Subroutine SOLV3 ......Page 53
3.2.3 Subroutines EDDY, GAMCAL, CALFA ......Page 55
3.3.1 Subroutines KECOEF, KEPARM, KEDEF and KEDAMP ......Page 56
3.3.2 Subroutine KEINITK ......Page 61
3.4 Part 4 - Solution Algorithm ......Page 62
References ......Page 64
4.0 Introduction ......Page 65
4.1 Numerical Method ......Page 68
4.2 Computer Program ......Page 72
4.2.1 Subroutine INPUT ......Page 73
4.2.3 Subroutine HIC ......Page 74
References ......Page 76
5.0 Introduction ......Page 77
5.1 Mathematical Models for the Interaction Process in Inviscid Flows ......Page 78
5.2 HS Panel Method ......Page 81
5.3 Viscous Effects ......Page 87
5.4 Flowfield Calculation in the Wake ......Page 90
5.5.3 Subroutine OBKUTA ......Page 92
5.5.5 Subroutine VPDIS ......Page 93
References ......Page 94
6.1 Solution of the k-w and SST Model Equations ......Page 95
6.2 Solution of the SA Model Equations ......Page 98
6.3 Extension of k-e Model to Flows with Separation ......Page 104
7.0 Introduction ......Page 107
7.1 Test Cases for the CS and k-e Models ......Page 108
7.2 Sample Calculations for the Panel Method Without Viscous Effects ......Page 109
7.3 Sample Calculations for the Inverse Boundary-Layer Program ......Page 113
7.4 Sample Calculations with the Interactive Boundary-Layer Program ......Page 115
7.5 Computer Programs in the CD-ROM ......Page 122
References ......Page 126
